An item priced at $500 is bought on hire purchase, where $200 deposit is required, along with 12 monthly instalments of $40. How much would be saved if bought with cash?

Answer:

I think it's 32x

Step-by-step explanation:

hope I got it right Im not to good at this

Answer:

39

Step-by-step explanation:

Lets solve for x:

We know the ratio is 1:3

1x+3x = 52

4x = 52

x = 13

Since the ratio is 1:3:

13(3) = 39

13:39

Which makes 39 the larger number

Answer:

y= -4x-24

Step-by-step explanation:

change in y/change in x = 0- -24/-6-0 = 24/-6 = -4

gradient is -4

then you put a set of coradinates into the formular y-y=m(x-x)

y - 0= -4 (x+6)

y-0=-4x-24

y=-4x-24

Answer:

  4x +y = -24

Step-by-step explanation:

The given points are the x- and y-intercepts. It is convenient to write the equation in intercept form:

  x/a +y/b = 1 . . . . . . x-intercept 'a', y-intercept 'b'

  x/-6 +y/-24 = 1 . . . . . equation in intercept form

  4x +y = -24 . . . . . . . equation in standard form (multiply by -24)

Answer:

Vertex form:  y = -2(x - 1)²

Standard form: y = -2x² + 4x - 2

Step-by-step explanation:

Given the x-intercept as the vertex, (1, 0), and the y-intercept, (0, -2) as the two points on the graph of a parabola:

We can determine the equation by substituting these given values into the vertex form of the quadratic equation:

y = a(x - h)² + k

where:

a = determines the direction of where the graph opens, and the wideness or narrowness of the parabola.

(h, k) = vertex

Use vertex: (1, 0) and y-intercept, (0, -2):

y = a(x - h)² + k

-2 = a(0 - 1)² + 0

-2 = a(-1)²

-2 = a(1)

-2 = a

The quadratic equation in vertex form that matches the graph is:

y = -2(x - 1)² + 0 or  y = -2(x - 1)² ⇒ This is the quadratic equation in vertex form.

To transform the vertex form into the standard form, y = ax² + bx + c:

Simply expand the perfect square, (x - 1)², through FOIL method before distributing -2:

y = -2(x - 1)²

y = -2(x - 1)(x - 1)

y = -2(x² -2x + 1)

y = -2x² + 4x - 2 ⇒ This is the quadratic equation in standard form.  

Step-by-step explanation:

x + y = 17/18

x = 5/24

5/24 + y = 17/18

to bring both fractions to the same denominator (I see it is 72, but let's do it formally correct for you to learn), we look for the LCM, the lowest common multiple of both.

for this we split both numbers into their prime factors and then build the the combination of the longest chains per prime factor :

24 = 2×2×2×3

18 = 2×3×3

the LCM (and the new denominator) is then

2×2×2×3×3 = 8×9 = 72

so,

15/72 + y = 68/72

y = 53/72

53 is a prime number, so the fraction cannot be further refined.

Answer:

AC is straight line.

72°+3x=180°[linear pair]

3x=180°-72°

3x=108°

x=108°/3

x=36°

option c.

Answer:

y=2x+8

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the points (-6, -4) and (-4, 0).

There are 3 ways to write the equation of the line:

Let's write the equation in slope-intercept form, which is the most common way to do it.

We'll need to start by finding the slope of the line

The formula for the slope calculated from two points is [tex]\frac{y_2- y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

Even though we are already given two points, let's label their values in order to avoid any confusion and mistakes for later:

[tex]x_1=-6\\y_1=-4\\x_2=-4\\y_2=0[/tex]

Substitute these equations into the formula to find the slope (m):

m=[tex]\frac{y_2- y_1}{x_2-x_1}[/tex]

Substitute (remember: we have NEGATIVE numbers and SUBTRACTION, so we'll end up subtracting a negative):

m=[tex]\frac{0- -4}{-4--6}[/tex]

Simplify

m=[tex]\frac{0+4}{-4+6}[/tex]

Add the numbers together

m=[tex]\frac{4}{2}[/tex]

Divide

m=2

The slope of the line is 2

We can immediately plug it into the formula for slope-intercept form  as m:

y=2x+b

Now we need to find b

As the equation passes through both (-6, -4) and (-4, 0), we can use either one of them to solve for b

Taking (-4, 0) for example:

Substitute -4 as x and 0 as y:

0=2(-4)+b

Multiply

0=-8+b

Add 8 to both sides

8=b

Substitute 8 as b into the equation

y=2x+8

Hope this helps!

The length of the rectangular field is 164 yards and the width is 41 yards

From the question,

We are to determine the fields dimensions

From the given information

A rectangular field is four times as long as it is wide

That is

l = 4w -------- (1)

The perimeter of a rectangle is given by

P = 2(l + w)

Where

P is the perimeter

l is the length

and w is the width

From the given information

The perimeter of the field is 410 yards

∴ 2(l + w) = 410 ------ (2)

Substitute equation (1) into equation (2)

2(4w + w) = 410

2(5w) = 410

10w = 410

∴  w = 410 ÷ 10

w = 41 yards

Substitute the value of w into equation (1)

l = 4(41)

l = 164 yards

Hence, the length of the rectangular field is 164 yards and the width is 41 yards.

Learn more here:  https://brainly.com/question/4958695

Answer:

y = 3x + 7.

Step-by-step explanation:

The slope = 6/2 = 3

y-intercept = 7.

Answer:

y = 3x + 7

Step-by-step explanation:

y-intercept = 7    {where the line intersect at y-axis (0,7)}

Plot a point:  (-1 ,4 )

Slope intercept form: y = mx + b

y = mx + 7

4 = m*(-1) + 7

4 = -m + 7

4 - 7 = -m

-m = -3

m = 3

y = 3x + 7

Answer:

x = 3

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle:

15x + 5 + 22x + 4 = 120 add like terms

37x + 9 = 120 subtract 9 from both sides

37x = 111 divide both side by 37

x = 3 and to find the angles replace x with 3 in given expressions

I hope youre asking for the y=mx+b kind of equation… if so its y=2x-1

Answer:

the answer is d

Step-by-step explanation:

Answer:

Step-by-step explanation:

A. If you need proof message me.

Answer:

D

Step-by-step explanation:

its correct

Answer:

0.55p

Step-by-step explanation:

Iphone before discount = 100%p

Iphone after discount = 55%p

Expression = (1 - 0.45)p

Expression = 0.55p

-Chetan K

Answer:

the slope of the equation

Step-by-step explanation:

Answer:

2550

Step-by-step explanation:

Answer:

[tex] \frac{7.90 \times {10}^{ - 2} }{1.0 \times {10}^{ - 5} } \\ = 7.9 \times {10}^{5 - 2} \\ = 7.9 \times {10}^{3} [/tex]

Answer:

Either B. 'The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him' or A. 'He did not trust the woman not to trust him. And he did not want to be mistrusted now.'.

Step-by-step explanation:

The passages from the story "Thank You, Ma'am" that support the theme that respectful treatment encourages mutual respect are: "The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him." "The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next." and "Then, Roger, you go to that sink and wash your face,” said the woman, whereupon she turned him loose—at last. Roger looked at the door—looked at the woman—looked at the door—and went to the sink." Correct options are 2, 3 and 4.

These passages highlight how the woman treats the boy, Roger, with kindness and respect despite his attempt to steal her purse. Her understanding and respectful treatment lead Roger to reflect on his actions and ultimately decide to follow her guidance. This illustrates how respectful treatment encourages mutual respect between the characters.

To know more about respectful treatment :

https://brainly.com/question/28730771

#SPJ3

Answer:

[tex]1 + 2 = [/tex]

answer

Answer:

Answer 1

Because the alphabet can end,it is not unlimited

Answer:

Step-by-step explanation:

8p < -3

  if p = -2

8* -2 < -3

  -16 < -3 TRUE so p= -2 is a solution to the inequality 8p < -3

Answer:

$6 per cat, $10 per car

Step-by-step explanation:

I guess and checked my work.

if I did it right then it's $32.38.

Answer:

65+56=121

Let no. be t5

reverse will be 5t

t*10 + 5 + 5*10 + t = 11t + 55 = 121 => 11t = 66 => t = 6

So no. = 65

Step-by-step explanation:

Answer:

Length of floor = 5 m and breadth of floor = 4 m

Area of floor = length x breadth

= 5 m x 4 m = 20 m.sq

Now, Side of square carpet = 3 m

Area of square carpet = side x side = 3 x 3 = 9 m.sq

Area of floor that is not carpeted = 20 m – 9 m = 11 m.sq

Answer:

Step-by-step explanation:

Given ,

Length of a floor = 5 m

Width of the floor = 4 m

Therefore,

Area of the floor

= l × b

= 5m × 4m

[tex] = 20 {m}^{2} [/tex]

Given,

Sides of a square carpet = 3 m

Therefore,

Area of the carpet

= s × s

= 3m × 3m

[tex] = {9m}^{2} [/tex]

Now,

Area of the floor that is not carpeted is

= Area of the floor - Area of the carpet

[tex] = {20m}^{2} - {9m}^{2} [/tex]

[tex] = 11 {m}^{2} (ans)[/tex]

We have -4(x - 6) + 3(a - 7) = -4x + 24 + 3a - 21 = -4a + 3a + 3

so the answer is B

ok done. Thank to me :>

Answer:

a is 0.085 b is 19.6%

Step-by-step explanation:

1% = 0.01 so 8.5 = 0.085

0.20 = 20% so 0.196 = 19.6%